13682642688000

Names of 13682642688000

• Cardinal: 13682642688000 can be written as Thirteen trillion, six hundred eighty-two billion, six hundred forty-two million, six hundred eighty-eight thousand.

Scientific notation

• Scientific notation: 1.3682642688 × 10¹³

Factors of 13682642688000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 270

Divisors of 13682642688000

• Number of divisors d(n): 3072
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 109 110 117 120 125 127 128 130 132 135 143 144 150 156 160 165 176 180 192 195 198 200 208 216 218 220 225 234 240 250 254 256 260 264 270 275 286 288 297 300 312 320 325 327 330 351 352 360 375 381 384 390 396 400 416 429 432 436 440 450 468 480 495 500 508 512 520 528 540 545 550 572 576 585 594 600 624 635 640 650 654 660 675 702 704 715 720 750 762 768 780 792 800 825 832 858 864 872 880 900 936 960 975 981 990 1000 1016 1024 1040 1056 1080 1090 1100 1125 1143 1144 1152 1170 1188 1199 1200 1248 1270 1280 1287 1300 1308 1320 1350 1375 1397 1404 1408 1417 1430 1440 1485 1500 1524 1536 1560 1584 1600 1625 1635 1650 1651 1664 1716 1728 1744 1755 1760 1800 1872 1905 1920 1950 1962 1980 2000 2032 2048 2080 2112 2145 2160 2180 2200 2250 2286 2288 2304 2340 2376 2398 2400 2475 2496 2540 2560 2574 2600 2616 2640 2700 2725 2750 2794 2808 2816 2834 2860 2880 2925 2943 2970 3000 3048 3072 3120 3168 3175 3200 3250 3270 3300 3302 3328 3375 3429 3432 3456 3488 3510 3520 3575 3597 3600 3744 3810 3840 3861 3900 3924 3960 4000 4064 4125 4160 4191 4224 4251 4290 4320 4360 4400 4500 4572 4576 4608 4680 4752 4796 4800 4875 4905 4950 4953 4992 5080 5120 5148 5200 5232 5280 5400 5450 5500 5588 5616 5632 5668 5715 5720 5760 5850 5886 5940 5995 6000 6096 6144 6240 6336 6350 6400 6435 6500 6540 6600 6604 6656 6750 6858 6864 6912 6976 6985 7020 7040 7085 7150 7194 7200 7425 7488 7620 7680 7722 7800 7848 7920 8000 8128 8175 8250 8255 8320 8382 8448 8502 8580 8640 8720 8775 8800 9000 9144 9152 9216 9360 9504 9525 9592 9600 9750 9810 9900 9906 9984 10160 10240 10296 10400 10464 10560 10725 10791 10800 10900 11000 11176 11232 11264 11336 11430 11440 11520 11700 11772 11880 11990 12000 12192 12375 12480 12573 12672 12700 12753 12800 12870 13000 13080 13200 13208 13312 13500 13625 13716 13728 13824 13843 13952 13970 14040 14080 14170 14300 14388 14400 14625 14715 14850 14859 14976 15240 15360 15444 15587 15600 15696 15840 15875 16000 16256 16350 16500 16510 16640 16764 16896 17004 17145 17160 17280 17440 17550 17600 17875 17985 18000 18161 18288 18304 18432 18720 19008 19050 19184 19200 19305 19500 19620 19800 19812 19968 20320 20592 20800 20928 20955 21120 21255 21450 21582 21600 21800 22000 22352 22464 22528 22672 22860 22880 23040 23400 23544 23760 23980 24000 24384 24525 24750 24765 24960 25146 25344 25400 25506 25600 25740 26000 26160 26400 26416 26624 27000 27250 27432 27456 27648 27686 27904 27940 28080 28160 28340 28575 28600 28776 28800 29250 29430 29700 29718 29952 29975 30480 30720 30888 31174 31200 31392 31680 31750 32000 32175 32373 32512 32700 33000 33020 33280 33528 33792 34008 34290 34320 34560 34880 34925 35100 35200 35425 35750 35970 36000 36322 36576 36608 37125 37440 37719 38016 38100 38259 38368 38400 38610 39000 39240 39600 39624 39936 40640 40875 41184 41275 41529 41600 41856 41910 42240 42510 42900 43164 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91217617920 95018352000 95682816000 101352908800 103656384000 105251097600 106895646000 107737344000 109461141504 114022022400 116945664000 124387660800 125528832000 126691136000 131563872000 136826426880 138208512000 142527528000 152029363200 155484576000 171033033600 175418496000 182435235840 190036704000 207312768000 210502195200 213791292000 228044044800 248775321600 253382272000 263127744000 273652853760 285055056000 304058726400 310969152000 342066067200 350836992000 380073408000 414625536000 427582584000 456088089600 506764544000 526255488000 547305707520 570110112000 621938304000 684132134400 760146816000 855165168000 912176179200 1052510976000 1140220224000 1243876608000 1368264268800 1520293632000 1710330336000 2280440448000 2736528537600 3420660672000 4560880896000 6841321344000 13682642688000
• Sum of all divisors σ(n): 60443615232000
• Sum of proper divisors (its aliquot sum) s(n): 46760972544000
• 13682642688000 is an abundant number, because the sum of its proper divisors (46760972544000) is greater than itself. Its abundance is 33078329856000

Bases of 13682642688000

• Binary: 11000111000110111101000011101001100000000000₂
• Hexadecimal: 0xC71BD0E9800
• Base-36: 4ULPW6IO0

Squares and roots of 13682642688000

• 13682642688000 squared (13682642688000²) is 187214710927479865344000000
• 13682642688000 cubed (13682642688000³) is 2561591995557916077816306204672000000000
• The square root of 13682642688000 is 3699005.6350322041
• The cube root of 13682642688000 is 23917.9155762057

Scales and comparisons

• 13,682,642,688,000 seconds is equal to 435,065 years, 37 weeks, 1 day.
• To count from 1 to 13,682,642,688,000 would take you about one million, eighty-seven thousand, six hundred sixty-four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 13682642688000 cubic inches would be around 1993.2 feet tall.

Recreational maths with 13682642688000

• 13682642688000 backwards is 00088624628631
• 13682642688000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13682642688000's digits is 54
• More coming soon!